the members of the city cultural center have decided to put on a play once a night for a week. Their auditorium holds 500 people. By selling​ tickets, the members would like to raise ​$ 3,350 every night to cover all expenses. Let d represent the number of adult tickets sold at ​$8.50. Let s represent the number of student tickets sold at ​$ 5.50 each. If all 500 seats are filled for a​ performance, how many of each type of ticket must have been sold for the members to raise exactly ​$3,350​? At one performance there were three times as many student tickets sold as adult tickets. If there were 400 tickets sold at that​ performance, how much below the goal of​ $3,350 did ticket sales​ fall?

18

step-by-step explanation:

draw the shape and you will see that f and k are actually at adjacent vertices (points of the hexagon that are neighboring).   so find the distance between (1,2) and (4,2).   that is easy since (1,2) and (4,2) is just a vertical distance to count, which is 3.   it is a regular polygon which means all sides are congruent.   you have 6 sides (hexa) so multiply 6 by 3 to receive 18.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

5 pm

step-by-step explanation: